Finding the Fourth Proportional to 306,966,253.84, 460,594,592.09 and 159,335,355.76
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Solution
The fourth proportional to 306,966,253.84, 460,594,592.09 and 159,335,355.76 is: 239,078,407.72
Step by Step Solution
- Step 1: Write the proportion equation
306,966,253.84 : 460,594,592.09 = 159,335,355.76 : x - Step 2: Convert to fraction form
306,966,253.84/460,594,592.09 = 159,335,355.76/x - Step 3: Cross multiply
306,966,253.84x = 460,594,592.09 × 159,335,355.76 - Step 4: Simplify right side
306,966,253.84x = 73,389,003,190,443,168 - Step 5: Solve for x
x = 73,389,003,190,443,168/306,966,253.84 - Step 6: Final answer
x = 239,078,407.72
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.